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if y varies inversely with x and y= -18 when x = 6 , find y when x=5

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Answer:

y = -108/5

Step-by-step explanation:

An inverse variation is xy = k where k is a constant

xy =k

6*-18 = k

-108 = k

xy = -108

Let x = 5

5y = -108

Divide by 5

y = -108/5

Problem:

  • if y varies inversely with x and y.= -18 when x = 6, find y when x = 5?

Answer:

  • [tex] \huge \: \boxed{y = - 21.6}[/tex]

Formula:

  • [tex] \boxed{y = \frac{k}{x} }[/tex]

To find k use the given condition:

Given that:

  • [tex]y = -18 [/tex]
  • [tex]x = 6[/tex]

Lets try!

  • [tex]\:y = \frac{k}{x} \: \: ➡ \: \: \boxed{ k \ = yx}[/tex]
  • [tex]yx = - 18 \times 6 = \boxed{- 108}[/tex]

Equation is:

  • [tex] \boxed{y = {\frac{ - 108}{ \: x}}}[/tex]

When x = 5 then,

  • [tex]\huge{y = \frac{ - 108}{ \: 5}} [/tex]
  • [tex] \huge\boxed{y = - 21.6}[/tex]

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